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121214434410 = 23251346827049
BaseRepresentation
bin111000011100011110…
…0010111110001101010
3102120212122100021022200
41300320330113301222
53441221343400120
6131403554001030
711520543456336
oct1607074276152
9376778307280
10121214434410
114745242a723
121b5aa576176
13b579993904
145c1c7527c6
1532468e2e90
hex1c38f17c6a

121214434410 has 24 divisors (see below), whose sum is σ = 315157529700. Its totient is φ = 32323849152.

The previous prime is 121214434373. The next prime is 121214434417. The reversal of 121214434410 is 14434412121.

121214434410 is a `hidden beast` number, since 1 + 2 + 1 + 214 + 4 + 3 + 441 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100045057401 + 21169377009 = 316299^2 + 145497^2 .

It is not an unprimeable number, because it can be changed into a prime (121214434417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673413435 + ... + 673413614.

Almost surely, 2121214434410 is an apocalyptic number.

121214434410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121214434410 is an abundant number, since it is smaller than the sum of its proper divisors (193943095290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121214434410 is a wasteful number, since it uses less digits than its factorization.

121214434410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346827062 (or 1346827059 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 121214434410 its reverse (14434412121), we get a palindrome (135648846531).

The spelling of 121214434410 in words is "one hundred twenty-one billion, two hundred fourteen million, four hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1346827049 2693654098 4040481147 6734135245 8080962294 12121443441 13468270490 20202405735 24242886882 40404811470 60607217205 121214434410